Let F:R^4-R^3 be the linear mapping defined by
T(x,y,s,t)={x-y+s+t; x+2s-t; x+y+3s-3t}
find the bases of the ker(F)

Question

Let F:R^4->R^3 be the linear mapping defined by 
T(x,y,s,t)={x-y+s+t; x+2s-t; x+y+3s-3t} 
find the bases of the  ker(F)

anonymous · Answer

@TuringTest  pls hlp

turingtest · Answer

got yer matrix yet?

anonymous · Answer

jah

turingtest · Answer

row reduce...

anonymous · Answer

jah,actualy i started by finding the image (im(F)) so that i knw the Dim(ker(F)) and i found that is 2 .then i dnt knw how to proceed

turingtest · Answer

I actually don't know what the image is
I only know my way of doing linear algebra because I am self-taught
The way I do it is find the transformation matrix, then row-reduce
represent the solution set as a vector(s)
the span of that/those vectors is the nullspace/kernel

anonymous · Answer

yah, u can show me the way you do it

turingtest · Answer

I am exercising so I can't type it all out, but check out example 4 here: http://tutorial.math.lamar.edu/Classes/LinAlg/Subspaces.aspx (nullspace and kernel are the same thing)

anonymous · Answer

eixsh im failing 2 understand it, i dnt knw hw 2 contruct a  set for a kernel

turingtest · Answer

I will answer this in about 1hr or so, okay
sorry I'm a bit busy

anonymous · Answer

ok,no problem